Answer:
1/80
Step-by-step explanation:
(the area of the small circle)/(the area of the larger circle)
= (π× 3²)/(π× 27²)
(=> eliminate π)
= 3²/27² = (1/9)² = 1/81
since the shaded area is inside the larger circle,
the geometric probability =
1/(81-1) = 1/80
Step-by-step explanation:
(2 cos(2x)) / (cot x – tan x)
Multiply top and bottom by sin x cos x:
(2 cos(2x) sin x cos x) / (cos² x – sin² x)
Use double angle formula:
(2 cos(2x) sin x cos x) / (cos(2x))
2 sin x cos x
Use double angle formula:
sin(2x)
No one got the correct answer. The answer is supposed to be 7(2d+3k-dk-1). All the coefficients are divisible by 7, thus only the integers are changed. However, the variables cannot be a factor because they do not have the same variables that all the coefficients must have.
<span>It looks like you're supposed to pick a combination of two answers:
an absolute-value inequality, and
a sentence describing the meaning of that inequality.
We've got two choices for each, and therefore four possible combinations of choices.
First, let's tackle the sentence description. We're told that
"it [the cost] could differ [from the average of $32] as much as $8."
That sets a maximum value for the difference; it's UP TO $8.
If the cost is less than average, it could be as little as
$32 - $8 = $24
and if the cost is more than average, it could be as much as
$32 + $8 = $40.
So the medication costs range from $24 to $40, and we want an answer that states that.
Now for the inequalities:
|x - 32| describes the SIZE of the difference. Using the absolute-value function means we don't distinguish between
x - 32
and
32 - x
as far as our interests are concerned; we eliminate the sign from the subtraction and just look at the size of the difference.
But in the case we're looking at, we've got a MAXIMUM value for the difference; it can't be more than 8. The inequality
|x - 32| ≥ 8
says the difference is 8 or MORE, so we don't want that. Instead, we want
|x - 32| ≤ 8
which says the difference is anywhere from 0 to 8.
Combining these conclusions, we see we're looking for this answer:
|x - 32| ≤ 8; The medication costs range from $24 to $40
which is the third one listed.</span>
Simplify this quadratic function given in vertex form into standard form by simplifying the exponents and adding like terms.
(good luck :) and mark me brainliest if you're satisfied with my answer)
